Suppose you want to determine the number of miles you can drive in your car. your car gets 28 miles per gallon. the number of miles traveled varies directly with the number of gallons of gas the tank holds. write the direct variation equation that represents this situation. let y be the dependent variable and let x be the independent variable.

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step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is